Question

At a video store, you have two options for renting movies. You can pay $4 per movie, or you can pay a one-time membership fee of $10 and then pay only $1.50 per movie. After how many movie rentals will the cost of renting movies with the membership be less than the cost of renting movies without the membership?
(PLZ HELP)

Answer 1

Let x stand for a movie.

You can pay $4 every movie or $1.50 for every movie plus the original $10

    4x = 1.50x +10

-1.50x  -1.50x     (Subtraction Property of Equality)

  2.50x = 10

/2.50     /2.50   (Division Property of Equality)

x = 4

After 4 movies, the membership will cost less.